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Simplifying 5k3 + -15k2 = 0 Reorder the terms: -15k2 + 5k3 = 0 Solving -15k2 + 5k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k2'. 5k2(-3 + k) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve: Simplifying k2 = 0 Solving k2 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k2 = 0 Take the square root of each side: k = {0}Subproblem 2
Set the factor '(-3 + k)' equal to zero and attempt to solve: Simplifying -3 + k = 0 Solving -3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + k = 0 + 3 k = 0 + 3 Combine like terms: 0 + 3 = 3 k = 3 Simplifying k = 3Solution
k = {0, 3}
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